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Finding the Third Proportional to 11,534 and 24,902

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Solution

The third proportional to 11,534 and 24,902 is: 53,763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534 : 24,902 = 24,902 : x
  2. Step 2: Convert to fraction form
    11,534/24,902 = 24,902/x
  3. Step 3: Cross multiply
    11,534x = 24,902 × 24,902
  4. Step 4: Simplify right side
    11,534x = 620,109,604
  5. Step 5: Solve for x
    x = 620,109,604/11,534
  6. Step 6: Final answer
    x = 53,763.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.